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Finding the Fourth Proportional to 3,782.08, 5,668.26 and 1,587.79

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Solution

The fourth proportional to 3,782.08, 5,668.26 and 1,587.79 is: 2,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.08 : 5,668.26 = 1,587.79 : x
  2. Step 2: Convert to fraction form
    3,782.08/5,668.26 = 1,587.79/x
  3. Step 3: Cross multiply
    3,782.08x = 5,668.26 × 1,587.79
  4. Step 4: Simplify right side
    3,782.08x = 9,000,006.55
  5. Step 5: Solve for x
    x = 9,000,006.55/3,782.08
  6. Step 6: Final answer
    x = 2,379.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.